Simulate adding a draggable to a sortable programatically

Simulate adding a draggable to a sortable programatically

Hi All, 

How to add a draggable to sortable programatically ? 

<script> 
$(function() {
$( "#sortable" ).sortable({
revert: true
});
});
$(document).ready(function() {
setTimeout(add(), 3000);
});
function add(){
var $obj = $( "<li class='ui-state-default' id='d7' >Item 7</li>" );
$obj.draggable({
connectToSortable: "#sortable"
});
$obj.appendTo($('#sortable'));
}
</script> 
</head> 
<body> 

 <ul id="sortable"> 
<li class="ui-state-default" id="d1" >Item 1</li> 
<li class="ui-state-default" id="d2">Item 2</li> 
<li class="ui-state-default" id="d3">Item 3</li> 
<li class="ui-state-default" id="d4">Item 4</li> 
<li class="ui-state-default" id="d5">Item 5</li> 
</ul>  


In the above code i have a list of sortables, i want to add the draggable($obj) to a sortable, even though i add to the sortable in the add method, that gets added but does not play as a draggable, 
Do i need to call any method of sortable after adding the draggable ? 

Thanks,
Chris